2657071872 has 864 divisors, whose sum is σ = 10713830400. Its totient is φ = 613122048.

The previous prime is 2657071819. The next prime is 2657071877. The reversal of 2657071872 is 2781707562.

2657071872 is a `hidden beast` number, since 2 + 6 + 570 + 7 + 1 + 8 + 72 = 666.

2657071872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2657071877) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91623154 + ... + 91623182.

Almost surely, 2^2657071872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2657071872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356915200).

2657071872 is an abundant number, since it is smaller than the sum of its proper divisors (8056758528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2657071872 is a wasteful number, since it uses less digits than its factorization.

2657071872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 2657071872 is about 51546.7930331267. The cubic root of 2657071872 is about 1385.0573852246.

The spelling of 2657071872 in words is "two billion, six hundred fifty-seven million, seventy-one thousand, eight hundred seventy-two".